Duality between the Feynman Integral and a Perturbation Term of the Wightman Function
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概要
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Graph-theoretical consideration is made to find a duality relationship between the position space and the momentum space. It is shown that, given a Feynman graph, there can be constructed, if it is planar, the position-space perturbation example (Wightman function) which has the same singularity region (in position space) as that (in momentum space) of a mass-superposition of the Feynman integral corresponding to the given graph. On the basis of this result, A. C. T. Wu's conjecture on the analyticity of the four-point Wightman function is criticized.
- 理論物理学刊行会の論文
- 1968-07-25
著者
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Nakanishi Noboru
Reseach Institure For Mathematical Sciences Kyoto University
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MINAMI Masatsugu
Research Institute for Mathematical Sciences Kyoto University
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